i(t)=k(exp(jωt))

v(t)=kjω(exp(jωt))

we can take i(t) is the current through inductor and v(t) as the voltage across inductor. in the book of b.plathi (modern digital and analog comn systems) it is written that two complex signals are orthogonal if integral of product of one signal with the conjugate of other is zero. that is

∫i(t)*v(t)dt=0 where * is the symbol showing that v(t) is conjugated.

but the calculations i did show that this untegral is non-zero. plz have a look at my caclculations

∫i(t)*v(t)dt

=k²(-j)ω∫exp(jωt)exp(-jωt)

=-k²jω∫dt

≠0

henc this relation shows that these signals are not orthogonal.

plz post your comments on this.